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S_A_V [24]
3 years ago
9

Solve each equation (Isolating first)

Mathematics
2 answers:
Dvinal [7]3 years ago
7 0

3 \times {( \frac{1}{8} )}^{2x}  = 12 \\ \Leftrightarrow {( \frac{1}{8} )}^{2x}  = 4 \\ \Leftrightarrow  {( {2}^{ - 3}) }^{2x}  =  {2}^{2}  \\ \Leftrightarrow  {2}^{ - 6x}  =  {2}^{2}  \\ \Leftrightarrow  - 6x = 2 \\ \Leftrightarrow x =  -  \frac{1}{3}  \\  \\ 2 {\sqrt[3]{5}}^{4x}  = 50 \\ \Leftrightarrow  { \sqrt[3]{5} }^{4x}  = 25 \\ \Leftrightarrow  {5}^{ \frac{4x}{3} }  =  {5}^{2}  \\ \Leftrightarrow  \frac{4x}{3}  = 2 \\ \Leftrightarrow 4x = 6 \\ \Leftrightarrow x =  \frac{3}{2}

Sedaia [141]3 years ago
3 0

Answer to Q1:

x= -1/3

Step-by-step explanation:

We have given the equations.

We have to solve these equations.

The first equation is :

3.(\frac{1}{8})^{2x}

(\frac{1}{8})^{2x}=4

(2^{-3x})^{2x}=4

2^{-6x}=4

2^{-6x}=2^{2}

As we know that bases are same then exponents are equal.

-6x = 2

x = 2/-6

x=-1/3

Answer to Q2:

x = 3/2

Step-by-step explanation:

The given equation is :

2.\sqrt[3]{5}^{4x}=50

We have to find the value of x.

First,we multiply both sides of equation by 1/2 we get,

5^{4x/3}=25

5^{4x/3}=5^{2}

4x/3=2

4x = 6

x = 3/2

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